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Affine constellations without mutually unbiased counterparts

Publication date 2010
B-Phot Authors
DOI 10.1088/1751-8113/43/40/402002
S. Weigert and T. Durt, “Affine constellations without mutually unbiased counterparts,” J. Phys. A. Math. Theor., vol. 43, no. 40, 2010.
Abstract It has been conjectured that a complete set of mutually unbiased bases in a space of dimension d exists if and only if there is an affine plane of order d. We introduce affine constellations and compare their existence properties with those of mutually unbiased constellations. The observed discrepancies make a deeper relation between the two existence problems unlikely.
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